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Period

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Key Stage 3

Meaning

A period is the time taken for one complete wave to pass a point.

Key Stage 4

Meaning

A period is the time taken for a single oscillation to occur.

About Periods

Period may refer to the time taken for an oscillating object such as a pendulum or mass on a spring to make one full oscillation.
Period may refer to the time taken for one wave to pass a point.

Equation

NB: You do not need to remember this equation but you should be able to find the period of a wave using the frequency.

Period = 1/(Frequency)

\(T = \frac{1}{f}\)

Where:

f = Frequency

T = time period (the time it takes for one wave to pass a point).

Example Calculations

A wave has a frequency of 0.2Hz. Calculate how long it takes for one wave to pass a point. The E-string on a bass guitar is plucked to produce a sound with a frequency of 40Hz. Calculate the time it takes for the E-string to make one full oscillation.
1. State the known quantities

f = 0.2Hz

1. State the known quantities

f = 40Hz

2. Substitute the numbers into the equation and solve.

\(T = \frac{1}{0.2}\)

\(T = 5s\)

2. Substitute the numbers into the equation and solve.

\(T = \frac{1}{40}\)

\(T = 0.025s\)